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Dimas [21]
3 years ago
8

The function of f (x)=16x+12 gives the number of pages Gwen has read in the War of the Worlds after x days, and the function g(x

)=18x gives the number of pages Owen has read after x dayso, After how many days will Gwen and Oven have read the same number of pages. Explain how you solved this problem.
Mathematics
1 answer:
marshall27 [118]3 years ago
7 0
In order to solve this, set the equations equal:
16x + 12 = 18x

Isolate the variable

 16x + 12 = 18x-16x            -16x

12 = 2xDivide both sides by 2
6 = x6 days
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If 63<br><img src="https://tex.z-dn.net/?f=%20%7B63%7D%5E%7B2%7D%20%20%3D%201%20%2B%203%20%2B%205%20%2B%20...%20%2B%20k%20%20%20
Scilla [17]

Answer:

125

Step-by-step explanation:

let's see if we can find a pattern

1 = 1 = 1^2

1 + 3 = 4 = 2^2

1 + 3 + 5 = 9 = 3^2

we are starting to see a pattern here, when we add another term, we find the next integer squared.

we can find this last number in our sequence with 2x-1.

so in the next line we should find 4^2. if we plug 4 into 2x-1 we would expect the last term in the sum to be 7.

1 + 3 + 5 + 7 = 16 = 4^2

so 2*63 -1 = 126 - 1 = 125

3 0
4 years ago
(7m-35=5+2m) how do I solve for m???
Elena L [17]
Isolate m using inverse operations, get m by itself. (addition and subtraction, mult. and div.)

7m-35=5+2m\ (subtract\ 2m) \\ 5m-35=5\ (add\ 35) \\ 5m = 40\ (divide\ by\ 40) \\ \boxed{m=8}
3 0
4 years ago
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Mario received y text messages each minute for 10
Rom4ik [11]
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7 0
3 years ago
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Henry drew the model below of his yard. He said the perimeter of the yard is 48 feet. He knows that one side is 9 feet wide. How
saw5 [17]

Answer:

15 feets

Step-by-step explanation:

Perimeter of a rectangle = 2(l + w)

l = Length ; w = width

Perimeter, p = 48

Length of all sides

p = 2(l + w)

48 = 2(l + 9)

48 = 2l + 18

48 - 18 = 2l

30 = 2l

l = 30/2

l = 15

Length of the sides = 15 feets

8 0
3 years ago
Find a cartesian equation for the curve and identify it. r = 10 tan(θ) sec(θ)
Vilka [71]
For a cartesian equation
x=r\cos\theta \ and \ y=r\sin\theta \\  \\ \cos\theta=\frac{x}{r} \ and \ \sin\theta=\frac{y}{r} \\  \\ \tan\theta=\frac{\sin\theta}{\cos\theta}=\frac{y}{r}\cdot\frac{r}{x}=\frac{y}{x} \\  \\ \sec\theta=\frac{1}{\cos\theta}=\frac{r}{x}

Given r = <span>10 tan(θ) sec(θ)
r=10\tan\theta\sec\theta=10\cdot\frac{y}{x}\cdot\frac{r}{x} \\  \\ \Rightarrow10y=x^2 \\  \\ \Rightarrow y= \frac{1}{10} x^2

Therefore,</span>the curve is a parabola opening upward with vertex (0, 0).
3 0
3 years ago
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